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430451322145 = 5138218066173
BaseRepresentation
bin1100100001110001110…
…01011110110100100001
31112011001220002210221221
412100320321132310201
524023031014302040
6525425133415041
743045661603605
oct6207071366441
91464056083857
10430451322145
1115660a605439
126b51133a481
133178c373b60
1416b96531505
15b2e4e7274a
hex6438e5ed21

430451322145 has 16 divisors (see below), whose sum is σ = 556953182352. Its totient is φ = 317484529920.

The previous prime is 430451322121. The next prime is 430451322157. The reversal of 430451322145 is 541223154034.

It can be written as a sum of positive squares in 8 ways, for example, as 23112512784 + 407338809361 = 152028^2 + 638231^2 .

It is not a de Polignac number, because 430451322145 - 29 = 430451321633 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 430451322145.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3979722 + ... + 4086451.

It is an arithmetic number, because the mean of its divisors is an integer number (34809573897).

Almost surely, 2430451322145 is an apocalyptic number.

It is an amenable number.

430451322145 is a deficient number, since it is larger than the sum of its proper divisors (126501860207).

430451322145 is a wasteful number, since it uses less digits than its factorization.

430451322145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8067012.

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 430451322145 its reverse (541223154034), we get a palindrome (971674476179).

The spelling of 430451322145 in words is "four hundred thirty billion, four hundred fifty-one million, three hundred twenty-two thousand, one hundred forty-five".

Divisors: 1 5 13 65 821 4105 10673 53365 8066173 40330865 104860249 524301245 6622328033 33111640165 86090264429 430451322145